The function is given as
[tex]S=16t^2[/tex]
Given that the height of the building is
[tex]S=1497ft[/tex]
To calculate the value for time (t), we will substitute the value of S=1497 ft in the function above
[tex]\begin{gathered} S=16t^2 \\ 1497=16t^2 \\ 16t^2=1497 \\ \text{Divide both sides by 1}6 \\ \frac{16t^2}{16}=\frac{1497}{16} \\ t^2=93.5625 \\ \text{squareroot both sides} \\ t=\sqrt[]{93.5625} \\ t=9.67 \\ t\approx9.7\sec onds \end{gathered}[/tex]
Hence,
The final answer is t= 9.7 seconds
